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Regular version of the site

Book chapter

A paradigm for codimension one foliations

P. 59-69.
Dmitry Filimonov, Kleptsyn V., Navas A., Deroin B.

We summarize some of the recent works, devoted to the study of one-dimensional (pseudo)group actions and codimension one foliations. We state a conjectural alternative for such actions (generalizing the already obtained results) and describe the properties in both alternative cases. We also discuss the generalizations for holomorphic one-dimensional actions. Finally, we state some open questions that seem to be already within the reach.

In book

Edited by: T. Asuke, S. Matsumoto, Y. Mitsumatsu. Vol. 72: Geometry, Dynamics, and Foliations 2013: In Honor of Steven Hurder and Takashi Tsuboi on the Occasion of Their 60th Birthdays. Mathematical Society of Japan, 2017.